Nationality German Role Mathematician Name Lazarus Fuchs | Doctoral advisor Karl Weierstras Residence Germany | |
Institutions University of GreifswaldUniversity of HeidelbergUniversity of BerlinUniversity of Gottingen Doctoral students Gerhard HessenbergEdmund LandauHermann SchapiraLudwig SchlesingerIssai SchurTheodor VahlenErnst Zermelo Known for Fuchsian groupsPicard–Fuchs equationFuchs's theorem Education Humboldt University of Berlin Books The Blueprint: Success Is a State of Mind, Partially Ordered Algebraic Systems Influenced Henri Poincare, Camille Jordan, Felix Klein Similar People Karl Weierstrass, Henri Poincare, Ernst Kummer, Felix Klein, Edmund Landau | ||
Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin (Mosina) (located in Grand Duchy of Posen) and died in Berlin, Germany. He was buried in Schöneberg in the St. Matthew's Cemetery. His grave in section H is preserved and listed as a grave of honour of the State of Berlin.
He is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation. A singular point a of a linear differential equation
is called Fuchsian if p and q are meromorphic at the point a, and have poles of orders at most 1 and 2, respectively. According to a theorem of Fuchs, this condition is necessary and sufficient for the regularity of the singular point, that is, to ensure the existence of two linearly independent solutions of the form
where the exponents
Another well-known result of Fuchs is the Fuchs's conditions, the necessary and sufficient conditions for the non-linear differential equation of the form
to be free of movable singularities.
Lasarus Fuchs was the father of Richard Fuchs, a German mathematician.